Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bv |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
31670571444277248 = 212 · 311 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-837689,-294768295] |
[a1,a2,a3,a4,a6] |
Generators |
[-4170:3845:8] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
11.265138788049 |
L(r)(E,1)/r! |
Ω |
0.15781256932213 |
Real period |
R |
2.9742927629356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582k1 6678o1 |
Quadratic twists by: -3 -7 |